PTAk (version 1.2-6)

REBUILD: Build an approximation of the tensor of any order

Description

Gives the approximation of a previously analysed tensor using its given decomposition.

Usage

REBUILD(solutions,nTens=1:2,testvar=1 ,redundancy=FALSE)

Arguments

solutions

a PTAk object

nTens

a vector of identifying positions (numbers given in summary) for the choice of Principal Tensors to use

testvar

control within nTens used Principal Tensor with minimum percent of variability explained

redundancy

logical to take into account (within nTens) PT tested redundant during analysis (seealso RESUM) if TRUE.

Value

• A tensor with dimensions as solutions[[k]][["datanam"]].

Details

The function rebuilds the Principal Tensors, i.e. rank-one tensors of order the order of the tensor analysed, and add them up to build an approximation of the tensor analysed (according to the method used see method). This constitutes a best Least Squares (ordinary or "weighted" if metrics are used) approximation of datanam for a given orthogonal-rank r (number of principal tensors used), if and only if the singular values used are the r highest.

See Also

PTAk